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https://hdl.handle.net/1822/27492
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Campo DC | Valor | Idioma |
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dc.contributor.author | Pilarczyk, Pawel | - |
dc.contributor.author | Real, Pedro | - |
dc.date.accessioned | 2014-01-08T12:18:43Z | - |
dc.date.available | 2014-01-08T12:18:43Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Pilarczyk, P., & Real, P. (2015). Computation of cubical homology, cohomology, and (co)homological operations via chain contraction. Advances in Computational Mathematics, 41(1), 253-275. doi: 10.1007/s10444-014-9356-1 | - |
dc.identifier.issn | 1019-7168 | por |
dc.identifier.issn | 1572-9044 | por |
dc.identifier.uri | https://hdl.handle.net/1822/27492 | - |
dc.description.abstract | We introduce algorithms for the computation of homology, cohomology, and related operations on cubical cell complexes, using the technique based on a chain contraction from the original chain complex to a reduced one that represents its homology. This work is based on previous results for simplicial complexes, and uses Serre’s diagonalization for cubical cells. An implementation in C++ of the introduced algorithms and some examples are available at http://www.pawelpilarczyk.com/chaincon/. The paper is self-contained as much as possible, and is written at a very elementary level, so that basic knowledge of algebraic topology should be sufficient to follow it. | por |
dc.description.sponsorship | This research was partially supported from Fundo Europeu de Desenvolvimento Regional (FEDER) through COMPETE - Programa Operacional Factores de Competitividade (POFC) and from the Portuguese national funds through Fundacao para a Ciencia e a Tecnologia (FCT) in the framework of the research project FCOMP-01-0124-FEDER-010645 (ref. FCT PTDC/MAT/098871/2008), as well as from the funds distributed through the European Science Foundation (ESF) Research Networking Programme on "Applied and Computational Algebraic Topology" (ACAT). P. Real was additionally supported by the Spanish Ministry of Science and Innovation, project no. MTM2009-12716. | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.rights | restrictedAccess | por |
dc.subject | Algorithm | por |
dc.subject | Software | por |
dc.subject | Homology | por |
dc.subject | Cohomology | por |
dc.subject | Computational homology | por |
dc.subject | Cup product | por |
dc.subject | Alexander-Whitney coproduct | por |
dc.subject | Chaine homotopy | por |
dc.subject | Chaine contraction | por |
dc.subject | Cubical complex | por |
dc.subject | Chain homotopy | por |
dc.subject | Chain contraction | por |
dc.title | Computation of cubical homology, cohomology, and (co)homological operations via chain contraction | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
sdum.publicationstatus | in publication | por |
oaire.citationStartPage | 253 | por |
oaire.citationEndPage | 275 | por |
oaire.citationIssue | 1 | por |
oaire.citationTitle | Advances in Computational Mathematics | por |
oaire.citationVolume | 41 | por |
dc.identifier.eissn | 10.1007/s10444-014-9356-1 | - |
dc.identifier.doi | 10.1007/s10444-014-9356-1 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Advances in Computational Mathematics | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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2013cubi.pdf Acesso restrito! | Main article | 296,39 kB | Adobe PDF | Ver/Abrir |